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Congruence of Triangles Class 7 Worksheets |
Congruence of Triangles Class 7 Worksheet 1 with Answers
1. In each of the following figures, state
whether each of the pair of triangles are congruent or not. If yes, write the
condition it satisfies.
2. Prove that ΔABD and ΔBCD are congruent.
3. Each of the following pair of triangles are congruent. Write the measurements of the indicated sides and angles.
∠BAD, ∠ACD, AC, BD ∠ABD, ∠ACD, ∠CPD, BD
4.
Fill in the blanks.
a. Two triangles are congruent, if two
angles and one side of one triangle are equal to two angles and the
corresponding side of the other triangle and the condition used for congruency
is written as ___________.
b. In triangles ABC and PQR, AB = PQ,
AC = QR and ∠A = ∠P, then two triangles are ___________.
c. The areas of
congruent triangles are ___________
5.
Choose the correct option.
a.
Two triangles having equal sides and equal angles are said to be
i. congruent
ii. same
iii. unequal
iv. none of these
b.
SAS for two triangles is a condition for
i. congruency
ii. shapes
iii. same
iv. none of these
c.
The symbol used for congruency is
i. ≅
ii. ~
iii. =
iv. >
d. In two right-angled triangles, if
the hypotenuse and a side of one triangle equals the hypotenuse and the side of
the other triangle respectively, then they are congruent by the condition
i. SAS
ii. SSS
iii. AAS
iv. RHS
Congruence of Triangles Class 7 Worksheet 2
1. Match the following with the correct
conditions of congruency:
2. Prove that the following triangles are congruent.
3. Prove that the following pairs of triangles are congruent and then write the measurement of the indicated sides and angles.
4. Draw each of the following figure and state whether the given pair of triangles are congruent or not. If yes, write the congruence condition they are satisfying.
a. ΔABD and ΔADC b. ΔADC and ΔABC c.
ΔABC and ΔBCD
5. Choose the correct option.
a.
Two equilateral triangles with equal sides are
i. congruent
ii. not congruent
iii. unequal
iv. none of these
b.
In ΔABC and ΔDEF, AB = EF, BC = DF and ∠B = ∠F, the two triangles are
i. congruent
ii. not congruent
iii. similar
iv. none of these
c.
If three angles of a triangle are equal to three angles of another triangle,
then they are
i. congruent by AAA
ii. not congruent
iii. congruent SAS
iv. none of these
ANSWERS
Worksheet 1
1. a. Congruent b. Congruent
2. Do it
yourself
3. a. AC = 8
cm; BD = 5 cm
∠BAD = 32°; ∠ACD = 30°
b. ∠ABD = 35°; ∠ACD = 30°
∠CPD = 115°; BD = 6 cm
4. a.
ASA b. not congruent
c. equal
5. a. i b. i
c. i d. iv
Worksheet 2
1. a. ii b. iii
c. iv d. i
2. Do it
yourself
3. a. EF = 5
cm; ∠DEF = 45°
∠ABC = 40°
b. ∠QPR = 60°; ∠PRS = 30°
PQ = 3 cm; SR = 4 cm
c. AB = 4 cm; ∠ACB = 35°
∠DAB = 40°
4. a. Yes, ΔABD
≅ ΔADC; SAS
b. Yes,
ΔADC ≅ ΔABC; ASA
c. Yes, ΔABC ≅ ΔBCD; AAS
5. a. i b. i
c. ii
Maths Quiz
Maths Quiz for Class 7 Congruence of Triangles
MCQs Questions
MCQs Questions for Class 7 Maths
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